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Title: The dual reciprocity boundary element formulation for convection-diffusion-reaction problems with variable velocity field using different radial basis functions
Authors: AL-Bayati, SA
Wrobel, LC
Keywords: BEM;Dual reciprocity technique;Convection-diffusion-reaction;Variable velocity field;Radial basis function
Issue Date: 2018
Publisher: Elsevier
Citation: International Journal of Mechanical Sciences, 2018, 145 pp. 367 - 377
Abstract: This paper presents a dual reciprocity boundary element method (DRBEM) formulation for the solution of steady-state convection-diffusion-reaction problems with variable velocity field at moderately high P´eclet number. This scheme is based on utilising the fundamental solution of the convection-diffusion-reaction equation with constant coefficients. In this case, we decompose the velocity field into an average and a perturbation, with the latter being treated using a dual reciprocity approximation to convert the domain integrals arising in the boundary element formulation into equivalent boundary integrals. A proposed approach is implemented to treat the convective terms with variable velocity, for which the concentration is expanded as a series of functions. Four numerical experiments are included with available analytical solutions, to establish the validity of the approach and to demonstrate the efficiency of the proposed method.
ISSN: 0020-7403
Appears in Collections:Dept of Mechanical Aerospace and Civil Engineering Embargoed Research Papers

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